Cremona's table of elliptic curves

110450 = 2 · 5² · 47²

Class	r	Atkin-Lehner	Eigenvalues
110450a (2 curves)	0	2+ 5+ 47-	2+  0 5+  0 -2 -4  2  2
Curve Equation t 110450a1 [1,-1,0,17258,8512416] 2 110450a2 [1,-1,0,-534992,144918166] 2
110450b (1 curve)	0	2+ 5+ 47-	2+  0 5+  0  4 -1  5  8
Curve Equation t 110450b1 [1,-1,0,-2717,55941] 1
110450c (1 curve)	0	2+ 5+ 47-	2+  0 5+  0 -4  1  5 -8
Curve Equation t 110450c1 [1,-1,0,-6002267,-5735936859] 1
110450d (1 curve)	0	2+ 5+ 47-	2+  1 5+  0  1  4 -2 -7
Curve Equation t 110450d1 [1,0,1,54074,4550968] 1
110450e (1 curve)	0	2+ 5+ 47-	2+  1 5+  0 -1 -4 -2  7
Curve Equation t 110450e1 [1,0,1,24,-42] 1
110450f (1 curve)	0	2+ 5+ 47-	2+  1 5+  3  5 -1 -2  1
Curve Equation t 110450f1 [1,0,1,-608626,-178751852] 1
110450g (1 curve)	2	2+ 5+ 47-	2+ -1 5+ -1  3 -3 -6  3
Curve Equation t Generators 110450g1 [1,1,0,-15519375,-15170046875] 1 [-1706:80505:1]&[-1289:52556:1]
110450h (1 curve)	2	2+ 5+ 47-	2+ -1 5+ -1 -3  3 -6 -3
Curve Equation t Generators 110450h1 [1,1,0,-7025,143125] 1 [74:151:1]&[215:2830:1]
110450i (2 curves)	0	2+ 5+ 47-	2+ -1 5+ -5  3  5  0  7
Curve Equation t 110450i1 [1,1,0,-1989250,-1078007500] 1 110450i2 [1,1,0,-9720750,10758919000] 1
110450j (1 curve)	0	2+ 5+ 47-	2+  3 5+  3  1 -1  8  5
Curve Equation t 110450j1 [1,-1,0,-6444067,-1453127659] 1
110450k (1 curve)	1	2+ 5- 47-	2+  0 5-  0  1 -4  0  7
Curve Equation t Generators 110450k1 [1,-1,0,-13788992,16682044416] 1 [1344:23328:1]
110450l (1 curve)	1	2+ 5- 47-	2+  0 5-  0 -1  4  0 -7
Curve Equation t Generators 110450l1 [1,-1,0,-6242,-159084] 1 [-31:78:1]
110450m (1 curve)	1	2+ 5- 47-	2+  1 5-  1  3 -1  4 -1
Curve Equation t Generators 110450m1 [1,0,1,-34207516,-67618483622] 1 [3817189339:20640203597:571787]
110450n (1 curve)	1	2+ 5- 47-	2+  1 5-  1 -3  1  4  1
Curve Equation t Generators 110450n1 [1,0,1,-15486,649968] 1 [-27:1037:1]
110450o (4 curves)	1	2+ 5- 47-	2+  1 5-  2  3  4 -3 -5
Curve Equation t Generators 110450o1 [1,0,1,-1151,177148] 1 [-77704:324252:1331] 110450o2 [1,0,1,-277276,56175298] 1 [-568:5806:1] 110450o3 [1,0,1,-166826,-31632452] 1 [10926550346978262964:-253853905132420824081:13978188933715369] 110450o4 [1,0,1,1213799,233447548] 1 [-27691438:2088507866:226981]
110450p (2 curves)	1	2+ 5- 47-	2+  1 5- -3  3 -1  2 -5
Curve Equation t Generators 110450p1 [1,0,1,-214163701,1206314312548] 1 [9302:133411:1] 110450p2 [1,0,1,-491669326,-2482588669952] 1 [453452:304753336:1]
110450q (1 curve)	1	2+ 5- 47-	2+ -1 5-  4 -5 -4  5 -1
Curve Equation t Generators 110450q1 [1,1,0,-42413950,-107163023500] 1 [196865184995285:83284520359593570:1095912791]
110450r (1 curve)	1	2+ 5- 47-	2+ -1 5- -4 -1 -4 -3 -5
Curve Equation t Generators 110450r1 [1,1,0,661550,-12717250] 1 [685:-27955:1]
110450s (1 curve)	1	2+ 5- 47-	2+ -3 5- -3  5  1 -6  5
Curve Equation t Generators 110450s1 [1,-1,0,-15877,85081] 1 [200:-2309:1]
110450t (1 curve)	1	2- 5+ 47-	2-  1 5+  1 -1 -5  0 -5
Curve Equation t Generators 110450t1 [1,0,0,-5385588,-4173631708] 1 [731006:220534497:8]
110450u (1 curve)	1	2- 5+ 47-	2-  1 5+  2  4  4  7 -4
Curve Equation t Generators 110450u1 [1,0,0,180446537,1250894293417] 1 [47597211453078:9163860483167461:1597509809]
110450v (1 curve)	1	2- 5+ 47-	2-  1 5+  2 -4 -4  7  4
Curve Equation t Generators 110450v1 [1,0,0,81687,-12041383] 1 [682:18659:1]
110450w (1 curve)	1	2- 5+ 47-	2-  1 5+ -2  4  2 -3 -4
Curve Equation t Generators 110450w1 [1,0,0,-9030438,10575419492] 1 [14726:103087:8]
110450x (1 curve)	1	2- 5+ 47-	2-  1 5+ -2 -4 -2 -3  4
Curve Equation t Generators 110450x1 [1,0,0,-4088,-102208] 1 [92:504:1]
110450y (1 curve)	1	2- 5+ 47-	2-  1 5+  4 -1  4  3 -5
Curve Equation t Generators 110450y1 [1,0,0,26462,-101738] 1 [3289331809711963158:71713129502161783817:7525157425017128]
110450z (1 curve)	1	2- 5+ 47-	2-  1 5+ -4 -5  4 -5 -1
Curve Equation t Generators 110450z1 [1,0,0,-1696558,-857304188] 1 [82716:23745154:1]
110450ba (1 curve)	1	2- 5+ 47-	2- -1 5+  1  3 -5 -2  7
Curve Equation t Generators 110450ba1 [1,1,1,-2403438,-1426960469] 1 [-25215:67819:27]
110450bb (2 curves)	1	2- 5+ 47-	2- -1 5+  1 -3  5 -6  1
Curve Equation t Generators 110450bb1 [1,1,1,-318787463,-2190918729219] 1 [-50639005:26421546:4913] 110450bb2 [1,1,1,-350541838,-1728113900469] 1 [-11535:889367:1]
110450bc (4 curves)	1	2- 5+ 47-	2- -1 5+ -2  3 -4  3 -5
Curve Equation t Generators 110450bc1 [1,1,1,-6673,-255729] 1 [1062:8301:8] 110450bc2 [1,1,1,48552,1887001] 1 [1061:34813:1] 110450bc3 [1,1,1,-28763,22143531] 1 [-1243641834:138951058933:28652616] 110450bc4 [1,1,1,-6931888,7021912281] 1 [49233:547501:27]
110450bd (2 curves)	1	2- 5+ 47-	2-  2 5+  4  3 -4 -6  1
Curve Equation t Generators 110450bd1 [1,1,1,-563,-5219] 1 [95:852:1] 110450bd2 [1,1,1,-6438,194531] 1 [75:337:1]
110450be (2 curves)	1	2- 5+ 47-	2-  2 5+  4 -3  4 -6 -1
Curve Equation t Generators 110450be1 [1,1,1,-1243713,516959531] 1 [343138431645:-116553325078:625026375] 110450be2 [1,1,1,-14221588,-20481242219] 1 [-6802365:4000343:3375]
110450bf (1 curve)	1	2- 5+ 47-	2- -2 5+  2  1 -2 -2 -1
Curve Equation t Generators 110450bf1 [1,0,0,-45213,-3703583] 1 [-124:69:1]
110450bg (1 curve)	1	2- 5+ 47-	2- -2 5+  2 -1  2 -2  1
Curve Equation t Generators 110450bg1 [1,0,0,-99875563,384117595617] 1 [7712:265519:1]
110450bh (1 curve)	0	2- 5- 47-	2-  0 5-  0  1  4  0  7
Curve Equation t 110450bh1 [1,-1,1,-551560,133566667] 1
110450bi (1 curve)	2	2- 5- 47-	2-  0 5-  0 -1 -4  0 -7
Curve Equation t Generators 110450bi1 [1,-1,1,-250,-1223] 1 [-11:15:1]&[-7:15:1]
110450bj (1 curve)	0	2- 5- 47-	2- -1 5-  0  1 -4  2 -7
Curve Equation t 110450bj1 [1,1,1,1351862,568871031] 1
110450bk (1 curve)	0	2- 5- 47-	2- -1 5-  0 -1  4  2  7
Curve Equation t 110450bk1 [1,1,1,612,-5219] 1
110450bl (1 curve)	0	2- 5- 47-	2- -1 5- -1  3  1 -4 -1
Curve Equation t 110450bl1 [1,1,1,-855187888,-8452310452719] 1
110450bm (1 curve)	2	2- 5- 47-	2- -1 5- -1 -3 -1 -4  1
Curve Equation t Generators 110450bm1 [1,1,1,-387138,81246031] 1 [-631:8963:1]&[185:-4093:1]
110450bn (2 curves)	0	2- 5- 47-	2- -1 5-  3  3  1 -2 -5
Curve Equation t 110450bn1 [1,1,1,-8566548,9647087881] 1 110450bn2 [1,1,1,-19666773,-19868576069] 1
110450bo (1 curve)	0	2- 5- 47-	2-  3 5-  3  5 -1  6  5
Curve Equation t 110450bo1 [1,-1,1,-396930,10238197] 1

Data from Elliptic Curve Data by J. E. Cremona.
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